Dissipative Relativistic Fluid Dynamics: A New Way to Derive the Equations of Motion from Kinetic Theory

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.162501· OSTI ID:21471037

Denicol, G S ^[1]; Koide, T ^[2]; Rischke, D H ^[1]

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1. Institute fuer Theoretische Physik, Johann Wolfgang Goethe-Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main (Germany)
2. Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe-Universitaet, Ruth-Moufang-Str. 1, D-60438 Frankfurt am Main (Germany)

We rederive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast with the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain equations of motion for the dissipative currents, we directly use the latter's definition. Although the equations of motion obtained via the two approaches are formally identical, the coefficients are different. We show that, for the one-dimensional scaling expansion, our method is in better agreement with the solution obtained from the Boltzmann equation.

• OSTI ID: 21471037
• Journal Information: Physical Review Letters, Vol. 105, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.105.162501; (c) 2010 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
CURRENTS
EQUATIONS OF MOTION
FLUID MECHANICS
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
RELATIVISTIC RANGE
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
INTEGRO-DIFFERENTIAL EQUATIONS
KINETIC EQUATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS